Question

Teams chosen from 30 forest rangers and 16 trainees will be planting trees. An experienced team consisting of 2 rangers can plant 400 trees per week. A training team consisting of 1 ranger and 2 trainees can plant 300 trees per week. Experienced Teams (x) Training Teams (y) TOTAL Rangers 2 1 30 Trainees 0 2 16 Maximize equation: z = 400x + 300y 10. Graph and shade the system of constraints to find the feasible region. 2x + y ? 30 2y ? 16 x ? 0, y ? 0 11. Find the corner points of the feasible region. Corner Points z = 400x + 300y ( , ) ( , ) ( , ) ( , ) 12. How many of each type of team should be formed to maximize the number of trees planted? The maximum the number of trees planted would be when x = of the experienced teams and y = of the training teams are utilized.

          Teams chosen from 30 forest rangers and 16 trainees will be planting trees. An experienced team consisting of 2 rangers can plant 400 trees per week. A training team consisting of 1 ranger and 2 trainees can plant 300 trees per week.

Experienced Teams (x) Training Teams (y) TOTAL
Rangers 2 1 30
Trainees 0 2 16

Maximize equation: z = 400x + 300y

10. Graph and shade the system of constraints to find the feasible region.
2x + y ? 30
2y ? 16
x ? 0, y ? 0

11. Find the corner points of the feasible region.
Corner Points z = 400x + 300y
( , )
( , )
( , )
( , )

12. How many of each type of team should be formed to maximize the number of trees planted?
The maximum the number of trees planted would be ________ when x = ________ of the experienced teams and y = ________ of the training teams are utilized.

Teams chosen from 30 forest rangers and 16 trainees will be planting trees. An experienced team consisting of 2 rangers can plant 400 trees per week. A training team consisting of 1 ranger and 2 trainees can plant 300 trees per week.

Experienced Teams (x) Training Teams (y) TOTAL
Rangers 2 1 30
Trainees 0 2 16

Maximize equation: z = 400x + 300y

10. Graph and shade the system of constraints to find the feasible region.
2x + y ? 30
2y ? 16
x ? 0, y ? 0

11. Find the corner points of the feasible region.
Corner Points z = 400x + 300y
( , )
( , )
( , )
( , )

12. How many of each type of team should be formed to maximize the number of trees planted?
The maximum the number of trees planted would be when x = of the experienced teams and y = of the training teams are utilized.

Added by Jason J.

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